Home
Class 12
MATHS
Let a!=0 and p(x) be a polynomial of deg...

Let `a!=0` and p(x) be a polynomial of degree greater than 2. If `p(x)` leaves reminders a and -a when divided respectively, by x+a and x-a , then the remainder when `p(x)` is divided by `x^2-a^2` is

A

`2x`

B

`-2x`

C

`x`

D

`-x`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the remainder when x^(3) -ax^2+6x-a is divided by x -a.

Find the remainder when x^(3) -ax^(2) +6x-a is divided by x - a.

Find the quotient and remainder when p(x)=2x^2+2x+1 is divided by g(x)=x+2

Find the remainder when x ^(3) - px ^(2) + 6x -p is divided by x -p.

The remainder when P(x) = 2x^2-x-6 is divided by (x-2) is equal to :

Find the remainder when 9x ^(3) - 3x ^(2) + x-5 is divided by x - (2)/(3)

Find the remainder when polynomial P(x)=x^3+3x^2+3x+1 id divided by 5+2x

The remainder when p(x) = 2x^(2) -x-6 is divided by (x - 2) is equal to :

2^(60) when divided by 7 leaves the remainder

Find the remainder using remainder theorem, when 2x^(3)+3x^(2)+x+1 is divided by x+1/2